Stability Analysis of a Class of PWM Systems

Stability Analysis of a Class of PWM Systems

This note considers stability analysis of a class of pulsewidth modulated (PWM) systems that incorporates several different switched mode dc-dc converters. The systems of the class typically have periodic solutions. A sampled data model is developed and used to prove stability of these solutions. Co...

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Veröffentlicht in:IEEE transactions on automatic control 2007-06, Vol.52 (6), p.1072-1078
Hauptverfasser: Almer, S., Jonsson, U., Chung-Yao Kao, Mari, J.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Applied sciences
Automatic control
Computer science
control theory
systems
Control system analysis
Control theory. Systems
CONVERTERS
Convertors
Data models
dc-dc converter
DC-DC power converters
Electrical engineering. Electrical power engineering
Electrical machines
Exact sciences and technology
HYBRID SYSTEMS
Linear matrix inequalities
LYAPUNOV FUNCTIONS
Lyapunov method
Lyapunov methods
MATEMATIK
Mathematical models
MATHEMATICS
Optimeringslära, systemteori
Optimization, systems theory
PIECEWISE
Pulse duration modulation
Pulse width modulation
Pulse width modulation converters
pulsewidth modulated (PWM) systems
Sampled data
sampled data modeling
Stability
Stability analysis
State-space methods
Switched mode
Switches
Switching converters
Tillämpad matematik
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Beschreibung
Zusammenfassung:This note considers stability analysis of a class of pulsewidth modulated (PWM) systems that incorporates several different switched mode dc-dc converters. The systems of the class typically have periodic solutions. A sampled data model is developed and used to prove stability of these solutions. Conditions for global and local exponential stability are derived using quadratic and piecewise quadratic Lyapunov functions. The state space is partitioned and the stability conditions are verified by checking a set of coupled linear matrix inequalities (LMIs).
ISSN:0018-9286
1558-2523
1558-2523
DOI:10.1109/TAC.2007.899082